Find the middle term of the arithmetic progression 3,5,7,....,51
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15
3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51
Answered by
40
a=3 (first term)
d=2(common difference)
l=51(last term)
l=a+(n-1)d
51=3+(n-1)d
51=3+(n-1)2
51= 3+2n-2
51=1+2n
50=2n
n=25
Since 25 is odd,
For middle term :- n+1/2
= 25+1/2
=26/2 = 13
The 13th term :-
a13= a+(13-1)d
= 3 + 12 × 2
= 3+ 24
= 27
d=2(common difference)
l=51(last term)
l=a+(n-1)d
51=3+(n-1)d
51=3+(n-1)2
51= 3+2n-2
51=1+2n
50=2n
n=25
Since 25 is odd,
For middle term :- n+1/2
= 25+1/2
=26/2 = 13
The 13th term :-
a13= a+(13-1)d
= 3 + 12 × 2
= 3+ 24
= 27
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